It is worth to mention that, in the Kondo regime, the Anderson Hamiltonian (REF ) can be exactly mapped to
the Kondo Hamiltonian (1) by means of the Schrieffer-Wolff transformation [1]}, with Kondo exchange
interactions given by \(J_\tau = 4V_\tau ^2/U\) . Potential scattering is absent due to the particle-hole symmetry. We have
numerically verified the agreement between the predictions for both Hamiltonians. Although the Kondo model is simpler
because of its reduced local Hilbert space, it is better to work with the auxiliar Hamiltonian (REF ) in
order to clearly interpret the Friedel sum rules, which involves the computation of the localized spin-orbital
occupancies \(\langle n_{\tau \sigma } \rangle \) .
